Juan J. Nieto

CONTRACTIVE MAPPING THEOREMS IN PARTIALLY ORDERED SETS AND APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS

We prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a lower solution. To this aim, we prove an appropriate fixed point theorem in partially ordered sets.

Some new existence results for fractional differential inclusions with boundary conditions

This paper is mainly concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By using Bohnenblust-Karlins fixed point theorem, a main existence theorem is obtained. As an application of this main theorem, we establish two existence results when the multi-valued nonlinearity F has sub-linear or linear growth in the state variable y. Our results are even new when applied to a corresponding single-valued problem.

Fixed point theorems in ordered abstract spaces

We extend some fixed point theorems in L-spaces, obtaining extensions of the Banach fixed point theorem to partially ordered sets.

Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions

This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order with integral boundary conditions. Our results are based on contraction mapping principle and Krasnoselskiĭs fixed point theorem.

Use of fuzzy clustering technique and matrices to classify amino acids and its impact to Chou's pseudo amino acid composition.

In this paper we present a study of classification of the 20 amino acids via a fuzzy clustering technique. In order to calculate distances among the various elements we employ two different distance functions: the Minkowski distance function and the NTV metric. In the clustering procedure we take into account several physical properties of the amino acids. We examine the effect of the number and nature of properties taken into account to the clustering procedure as a function of the degree of similarity and the distance function used. It turns out that one should use the properties that determine in the more important way the behavior of the amino acids and that the use of the appropriate metric can help in defining the separation into groups.

Existence and global attractivity of positiveperiodic solution of periodic single-species impulsive Lotka-Volterra systems

Sufficient conditions are obtained for the existence and global attractivity of periodicpositive solutions of periodic single-species impulsive Lotka-Volterra systems.

Impulsive resonance periodic problems of first order

We prove a new existence theorem for a nonlinear periodic boundary value problem for a first-order differential equation with impulses at fixed moments. It includes the cases when the nonlinearity and the impulsive functions are either bounded or have sublinear growth.

Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

We study the existence of solutions for a class of fractional differential equations. Due to the singularity of the possible solutions, we introduce a new and proper concept of periodic boundary value conditions. We present Greens function and give some existence results for the linear case and then we study the nonlinear problem.

Fuzzy logic in medicine and bioinformatics.

The purpose of this paper is to present a general view of the current applications of fuzzy logic in medicine and bioinformatics. We particularly review the medical literature using fuzzy logic. We then recall the geometrical interpretation of fuzzy sets as points in a fuzzy hypercube and present two concrete illustrations in medicine (drug addictions) and in bioinformatics (comparison of genomes).

The Cauchy problem for continuous fuzzy differential equations

Abstract We prove a version of the classical Peanos theorem for the initial value problem for a fuzzy differential equation in the metric space of normal fuzzy convex sets with distance given by the maximum of the Hausdorff distances between level sets.